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Problem 344 from Wernick's corpus: Ma, Mb, Hb


Problem

Given a point Ma, a point Mb and a point Hb, construct the triangle ABC.

Status

ArgoTriCS says that the problem is solvable.

Illustration

Figure of construction

Solution


  1. Using the point Mb and the point Hb, construct a line b (rule W02);

    % DET: points Mb and Hb are not the same

  2. Using the point Hb and the point Ma, construct a circle k(Ma,B) (rule W06);

    % NDG: points Hb and Ma are not the same

  3. Using the circle k(Ma,B), the line b, the point Ma and the point Hb, construct a point C (rule W05);

    % NDG: line b and circle k(Ma,B) intersect

    % DET: points Hb and C must be different

  4. Using the point C and the point Ma, construct a point B (rule W01);

  5. Using the point Mb and the point C, construct a point A (rule W01);

animation
Construction in GCLC language

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